What is the value of `(2 + tan45^(@))` ?

Options

A. 3
B. `2//sqrt3`
C. `4//sqrt3`
D. `2+sqrt3`

Answer

To solve the question, we need to find the value of \(2 + \tan(45^\circ)\).

### Step-by-Step Solution:

1. **Identify the value of \(\tan(45^\circ)\)**:
- The tangent of \(45^\circ\) is a well-known trigonometric value.
- \(\tan(45^\circ) = 1\).

2. **Substitute the value of \(\tan(45^\circ)\) into the expression**:
- Now, we can substitute this value into the expression:
\[ 2 + \tan(45^\circ) = 2 + 1 \]

3. **Perform the addition**:
- Now, we add the numbers:
\[ 2 + 1 = 3 \]

4. **Final answer**:
- Therefore, the value of \(2 + \tan(45^\circ)\) is \(3\).

### Conclusion:
The final answer is \(3\).